The number 80440
80440 is a composite number with 16 divisors. Its prime factorisation is × 5 × 2011. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 2011, 4022, 8044, 10055, 16088, 20110, 40220, 80440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80440 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80440 is composite. Its prime factorisation is
- 3
The divisors add up to 181080; without 80440 itself that is 100640, so 80440 is abundant (100640 is more than 80440). Euler's totient φ(80440) = 32160 numbers up to 80440 share no factor with it.
- 4
The digits of 80440 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80440 = 2^{3} \times 5 \times 2011 \]80440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 181080 |
| Euler totient φ(n) | 32160 |
| Square | 6470593600 |
| Cube | 520494549184000 |
| Square root | 283.619463 (= 2√20110) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 94 |
| Scientific notation | 8.044 × |
80440 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand four hundred and forty |
| Binary (base 2) | 10011101000111000 |
| Octal (base 8) | 235070 |
| Hexadecimal (base 16) | 13A38 |
| Base 3 | 11002100021 |
| As time | 80440 seconds = 22 h 20 min 40 s |
Is 80440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80440 ÷ 2 = 40220) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80440 ÷ 4 = 20110) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (80440 ÷ 5 = 16088) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (80440 ÷ 8 = 10055) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (80440 ÷ 10 = 8044) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80440 a prime number?
No. 80440 = × 5 × 2011, so it is divisible by 2.
What are the factors of 80440?
1, 2, 4, 5, 8, 10, 20, 40, 2011, 4022, 8044, 10055, 16088, 20110, 40220, 80440.
What is 80440 in binary?
10011101000111000 (hexadecimal 13A38, octal 235070).
What is the square root of 80440?
About 283.6195, exactly 2√20110.
Is 80440 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 80440?
It is a composite number with 16 divisors.